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Q.

A shell is fired from a cannon with a velocity at angle θ with horizontal. At the highest point, it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon. The speed of the other piece just after explosion is

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a

32vcosθ

b

3vcosθ

c

32vcosθ

d

2vcosθ

answer is A.

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Detailed Solution

According to law of conservation of linear momentum at the highest point.

mvcosθ=m2(vcosθ)+m2v1

v1=3v cosθ

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A shell is fired from a cannon with a velocity v at angle θ with horizontal. At the highest point, it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon. The speed of the other piece just after explosion is